THEORY OF SINGULAR PERTURBATIONS IN THE CASE OF SPECTRAL SINGULARITIES OF THE LIMIT OPERATOR
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Publication:3797542
DOI10.1070/SM1988v059n02ABEH003151zbMath0652.34061OpenAlexW1998170940MaRDI QIDQ3797542
Publication date: 1988
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1988v059n02abeh003151
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Singular perturbations for ordinary differential equations (34E15)
Related Items (6)
Singularly perturbed Cauchy problem in which the limit operator has multiple spectrum and a weak first-order turning point ⋮ Development of the Lomov regularization method for a singularly perturbed Cauchy problem and a boundary value problem on the half-line for parabolic equations with a ``simple rational turning point ⋮ Regularized asymptotics of the solution of a singularly perturbedmixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator ⋮ A singularly perturbed Cauchy problem for a parabolic equation in the presence of the “weak” turning point of the limit operator ⋮ A method of normal forms for nonlinear singularly perturbed systems in case of intersection of eigenvalues of limit operator ⋮ A solution of the singularly perturbed Cauchy problem in the presence of a ``weak turning point at the limit operator
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